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Showing 1 to 15 of 15 for “"Unitary groups"”.
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Weil Representations of Unitary Groups
… degree of r. Whatever the case, let Um(A) be the unitary group of rank m over A associated to a nondegenerate hermitian or skew-hermitian form h relative to . Specifically, in order to obtain an imbedding of Um(A) into a suitable symplectic group over R, we take h to be skew-hermitian in all cases …
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Arithmetic inner product formula for unitary groups
… of cuspidal automorphic representations for unitary groups of even variables defined over a totally real number field, and their relation with the canonical height of special cycles on Shimura varieties attached to unitary groups of the same size. We formulate a precise conjecture about an …
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Local Newforms and Spherical Characters for Unitary Groups
… representations of both even and odd dimensional unitary groups over p-adic fields. This definition is compatible with the one given by Atobe, Oi, and Yasuda in the odd dimensional case. Using the nonvanishing of the local spherical character at the test vector, we prove the existence of the …
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A Characterization of the Four-Dimensional Projective Unimodular Unitary Groups
Made available in DSpace on 2014-12-14T13:09:25Z (GMT). No. of bitstreams: 1 7524378.pdf: 2377159 bytes, checksum: d88b95a50494224cd5d6d59a9ac1a500 (MD5) Previous issue date: 1975
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Germ expansion, endoscopic transfer, and unitary periods
… proof of the endoscopic fundamental lemma for unitary groups (theorem of Laumon and Ngo). For the second, we establish a new relative trace formula comparison conjectured by Jacquet that can be used to study unitary periods.
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Counting supercuspidal representations of p-adic groups
… irreducible supercuspidal representations of the unitary groups U(1; 1)(F~F0) and U(2; 1)(F~F0) by looking at their characteristic polynomials and then compute the number of all these representations according to their level.
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SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS
… of several finite nonabelian simple groups including linear groups, unitary groups, orthogonal groups, and sporadic groups. We have constructed interesting groups found using the technique of double coset enumeration and found the isomorphic types of the numerous groups that appeared …
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Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions
… a variant of the Gan-Gross-Prasad conjecture for unitary groups, and considers the restriction of an automorphic representation of GL(V ) to its subgroup U(V ), for a skew-Hermitian space V. It relates the nonvanishing of a certain period integral to the central value of an L-function attached to …
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Higher Siegel-Weil formulae over function fields
… of Kudla-Rapoport cycles for moduli spaces of unitary shtukas, and initiated the study of their intersection theory. They proved a higher Siegel-Weil formula in the case of non-degenerate Fourier coefficients, relating the degrees of these cycles to higher derivatives of Siegel-Eisenstein …
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Twisted and unstable : approaches to the string equations of motion
… over the group manifold of a product of unitary groups.
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Arithmetic transfers, modularity of arithmetic theta series and geometry of local-global Shimura varieties at parahoric levels
… modularity of arithmetic theta series on unitary Shimura varieties at general levels, which is based on modifications and uniformizations over vertical fibers. We carry out the method at maximal parahoric levels and obtain new arithmetic modularity results. We study the mod 𝑝 geometry of …
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Automorphism Groups of Quadratic Modules and Manifolds
… homological stability for both general linear groups of modules over a ring with finite stable rank and unitary groups of quadratic modules over a ring with finite unitary stable rank. In particular, we do not assume the modules and quadratic modules to be well-behaved in any sense: for …
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Level raising for automorphic representations of GL(2n)
… of $\mathrm{GL}(2n)$ over $E$, which is either unitary, conjugate self-dual and cuspidal or an isobaric sum $\Pi_1 \boxplus \Pi_2$ of two unitary, conjugate self-dual cuspidal representations of $\mathrm{GL}(n)$, we want to construct a unitary, conjugate self-dual cuspidal representation $\Pi'$ …
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Unipotent elements in algebraic groups
… for nilpotent orbits for all classical groups G. By applying Springer morphisms, this also yields representatives for the corresponding unipotent classes in G. As a corollary, we obtain a complete set of generic canonical representatives for the unipotent classes of the finite general …
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Frames In Hilbert C*-modules
… the set of the Parseval frame generators for a unitary group can be parameterized by the set of all the unitary operators in the double commutant of the unitary group. Similar result holds for the set of all the general frame generators where the unitary operators are replaced by invertible and …